Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776111020099· OSTI ID:22028122

Rezaei, B

We show that it is possible to use hard-Pomeron behavior to the gluon distribution and singlet structure function at low x. We derive a second-order independent differential equation for the gluon distribution and the singlet structure function. In this approach, both singlet quarks and gluons have the same high-energy behavior at small x. These equations are derived from the next-to-leading order DGLAP evolution equations. All results can be consistently described in the framework of perturbative QCD, which shows an increase of gluon distribution and singlet structure functions as x decreases.

• OSTI ID: 22028122
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 112, Issue 3; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
DIFFERENTIAL EQUATIONS
GLUONS
MATHEMATICAL SOLUTIONS
PARTICLE KINEMATICS
PARTICLE STRUCTURE
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARKS
STRUCTURE FUNCTIONS